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Answer:
The total number of cups of coffee sold are 51 which can be expressed in base
as
.
Step-by-step explanation:
Considering the following information
cup =
cup
pints =
cups ∵
pint =
cups
quarts =
cups ∵
quart =
cups
So, total number of cups will be =
cups
Converting
to the base ![2](https://tex.z-dn.net/?f=2)
Divide
by
by repeatedly and observe remainder
![\frac{51}{2}=25\quad \mathrm{Remainder}\quad \:1](https://tex.z-dn.net/?f=%5Cfrac%7B51%7D%7B2%7D%3D25%5Cquad%20%5Cmathrm%7BRemainder%7D%5Cquad%20%5C%3A1)
![\frac{25}{2}=12\quad \mathrm{Remainder}\quad \:1](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B2%7D%3D12%5Cquad%20%5Cmathrm%7BRemainder%7D%5Cquad%20%5C%3A1)
![\frac{12}{2}=6\quad \mathrm{Remainder}\quad \:0](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B2%7D%3D6%5Cquad%20%5Cmathrm%7BRemainder%7D%5Cquad%20%5C%3A0)
![\frac{6}{2}=3\quad \mathrm{Remainder}\quad \:0](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B2%7D%3D3%5Cquad%20%5Cmathrm%7BRemainder%7D%5Cquad%20%5C%3A0)
![\frac{3}{2}=1\quad \mathrm{Remainder}\quad \:1](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3D1%5Cquad%20%5Cmathrm%7BRemainder%7D%5Cquad%20%5C%3A1)
![\frac{1}{2}=0\quad \mathrm{Remainder}\quad \:1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3D0%5Cquad%20%5Cmathrm%7BRemainder%7D%5Cquad%20%5C%3A1)
Read and observe the remainder from top to bottom would yield
.
Therefore, the total number of cups of coffee sold are 51 which can be expressed in base
as
.
<em>Keywords: base 2, number</em>
<em>
Learn more about number bases from brainly.com/question/13725148</em>
<em>
#learnwithBrainly</em>
A dialation produces a shape that is the same shape but different size. so we draw a new triangle about point B where A'B=2AB
so B and B' are the same and
AB and BC will be parts of the sides. and A' is located on the ray
Answer:
x= −297
/13
Step-by-step explanation: